Alvarus, Thomas, Liber de triplici motu, 1509

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                    <pb chead="De motu locali quo ad cauſam in medio non reſiſte." file="0116" n="116"/>
                  te quã mobile quod in tali reſiſtentia mouetur ſuf-
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                  ficit moueri cū illo: tale mobile habens ꝓportionē
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                  maioris inequalitatis ad extremū intenſius inci-
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                  piens ſimul ab eodem puncto progredi ſiue moue-
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                  ri cum tali reſiſtentia, vniformiter continuo moue-
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                  tur. </s>
                  <s xml:id="N1B3D1" xml:space="preserve">Patet cdrrelariū ex ꝓbatione concluſionis.</s>
                </p>
                <p xml:id="N1B3DE">
                  <s xml:id="N1B3DF" xml:space="preserve">Quarta concluſio. </s>
                  <s xml:id="N1B3E2" xml:space="preserve">Ubi in medio non
                    <lb/>
                  reſiſtentie eſt ꝓgreſſio ſiue extenſio latitudinis vni-
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                  formiter difformis vtrim ad gradū terminate,
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                  quolibet puncto eius intrinſeco continuo intendē-
                    <lb/>
                  te motum ſuū, quieſcente extremo intenſiori: et re-
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                  miſſiori velocius continuo mouente quam mobile
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                  quod in tali reſiſtentia mouetur ſufficit moueri cū
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                  illa: tale mobile habens ꝓportionē maioris īequa­
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                  litatis ad extremū intenſius incipiens ſimul ab eo­
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                  dem puncto progredi ſiue moueri cum tali reſiſten­
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                  tia continuo remittit motum ſuū. </s>
                  <s xml:id="N1B3F9" xml:space="preserve">Probatur et ſit
                    <lb/>
                  illi b. potentia: et arguo ſtc / b. potentia nun̄ vnifor­
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                  miter mouetur, cū caſu concluſionis / vt patet er ſe-
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                  cundo correlario prime concluſionis: nec continuo
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                  intendit motum ſuum: nec aliquando remittit et im­
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                  wediate poſtea intendit, aut econtra: igitur b. po-
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                  tentia continuo remittit motum ſuum. </s>
                  <s xml:id="N1B408" xml:space="preserve">Conſequen­
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                  tia patet cnm maiore, et probatur prima pars mi-
                    <lb/>
                  noris, quia ſi ſic detur proportio a qua incipit mo-
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                  ueri b. potentia continuo intendendo motum ſuum
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                  que ſit f. quã habet ad punctum a. illius reſiſtentie
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                  a quo incipiendo moueri continuo per te intendit
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                  motum ſuū: et illud punctū a. incipiat moueri a pro­
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                  portione g. minori ꝓportione f. (vt oportet per te)
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                  </s>
                  <s xml:id="N1B41A" xml:space="preserve">Non em̄ incipit aliquod punctū illius reſiſtētie a nõ
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                  gradu moueri, cum extremū remiſſius continuo ve­
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                  locius mouetur quaꝫ potentia ſufficit mouere cum
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                  illo ex caſu cõcluſionis: quia alias potentia ſubito
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                  abſolueret totum illud mediū nõ reſiſtēs, cū ſubito
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                  eſſet extra reſiſtentiam. </s>
                  <s xml:id="N1B427" xml:space="preserve">Capio igitur / tunc c. punctū
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                  remiſſius ipſo a. quod incipit moueri ab h. ꝓpor-
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                  tione minore f. ꝓportione a qua incipit mouere b.
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                  potentia, maiore tamen ꝓportiõe g. a qua incipit
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                  moueri a. punctū: et arguo ſic / b. potentia incipit in­
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                  tendere motum ſuū incipiendo moueri ab a. pūcto
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                  verſus c. punctū et alia puncta intenſiora: igitur ꝑ
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                  aliquod tempus per qḋ c. punctū mouetur a ꝓpor-
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                  tione minori f.c punctum ꝓcedit b. potentiam: ſed
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                  conſequens eſt falſum: igitur illud ex quo ſequitur.
                    <lb/>
                  </s>
                  <s xml:id="N1B43D" xml:space="preserve">Conſequentia eſt nota, et falſitas conſequentis ar-
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                  guitur / quia b. potentia et c. punctū incipiūt in eodē
                    <lb/>
                  inſtanti ab eodem pūcto moueri verſus eandē dif-
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                  ferentiã etc̈. et ipſa b. potentia per illud tempus per
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                  quod c. punctū mouetur continuo a minori ꝓpor-
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                  tione quã ſit f. mouetur cõtinuo a maiori ꝓportiõe
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                  quã c. punctū cum a maiori f. / igitur per illud tēpus
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                  per quod c. punctum mouetur a proportione mi-
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                  nori f.b. potentia precedit punctum c. / et per conſe-
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                  quens per nullum tale tempus per quod c. punctuꝫ
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                  mouetur a proportione minori f.c. punctum prece-
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                  dit b. potentiam / quod eſt oppoſitum conſequentis
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                  </s>
                  <s xml:id="N1B457" xml:space="preserve">Et ſic patet prima pars minoris. </s>
                  <s xml:id="N1B45A" xml:space="preserve">Sed iam proba-
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                  tur ſecunda videlicet /  b. potentia non aliquando
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                  remittit motum ſuum, et immediate poſtea intēdit,
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                  quia ſi ſic det̄̄ inſtans in quo incipit intendere an-
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                  te quod inſtans immediate remittebat motum ſu-
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                  um in quo inſtanti b. potentia ſit in puncto a. a quo
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                  incipit intendere motum ſuum per te continuo cum
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                  remiſſiori puncto mouendo quam ſit a. </s>
                  <s xml:id="N1B46B" xml:space="preserve">Capio igi-
                    <lb/>
                  tur vnam partem illius reſiſtentie terminatam ad
                    <lb/>
                  punctum a. per quam b. potentia mouēdo cõtinuo
                    <cb chead="De motu locali quo ad cauſam in medio non reſiſte."/>
                  remittebat motum ſuum, et manifeſtum eſt /  ipſa
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                  potentia b. ſic continuo remittēs motum ſuum per
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                  illam partē mouēdo tardius mouetur cum quoli-
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                  bet puucto illius partis quam ille punctus moue-
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                  tur. </s>
                  <s xml:id="N1B47D" xml:space="preserve">Alias enim non cõtinuo b. potentia remitteret
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                  motum ſuū illam partē tranſeundo. </s>
                  <s xml:id="N1B482" xml:space="preserve">Et ex alia par­
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                  te ipſa potentia b. per te continuo intendit motum
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                  ſuū per illam reſiſtentiã vel aliquã eius partē mo-
                    <lb/>
                  uendo: igitur tunc ipſa potentia b. nõ continuo per
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                  illam partē velocius mouetur cum quolibet puncto
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                  illius partis ꝙ̄ ille punctus mouetur / qḋ eſt falſum:
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                  q2 antea quilibet pūctus illius partis velocius mo­
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                  uebatur ꝙ̄ potentia ſufficit moueri cum illo: igitur
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                  etiã modo (cū quilibet pūctus cõtinuo intēdat mo-
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                  tum ſuū). </s>
                  <s xml:id="N1B497" xml:space="preserve">Et ſic ptꝫ ſecūda pars minoris. </s>
                  <s xml:id="N1B49A" xml:space="preserve">Sed iam
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                  ꝓbo tertiã partc̈ vcꝫ  b. potētia nõ aliquãdo intē-
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                  dit motum ſuū, et īmediate poſtea remittit, q2 ſi ſic
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                  detur inſtans in quo incipit remittere poſt̄ inten-
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                  debat: et arguo ſic, quia tūc vel b ↄ̨tinuo antea intē­
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                  debat, vel aliquãdo remittebat et īmediate poſtea
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                  intendebat: nõ primū (vt ptꝫ) ex prima parte mino-
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                  ris: nec ſcḋm (vt ptꝫ) ex ſecūda: igitur b. potentia nõ
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                  aliquãdo intendit motū ſuū, et īmediate poſtea re-
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                  mittit / quod fuit ꝓbandū. </s>
                  <s xml:id="N1B4AF" xml:space="preserve">Et ſic ptꝫ tertia pars mi­
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                  noris: et ex tota cõcluſio.
                    <note position="right" xlink:href="note-0116-01a" xlink:label="note-0116-01" xml:id="N1B4F4" xml:space="preserve">1. correĺ.</note>
                  </s>
                  <s xml:id="N1B4B9" xml:space="preserve">¶ Ex quo ſequitur /  ſi illa
                    <lb/>
                  reſiſtentia ꝑpetuo ſic ꝓgrederetur vt dicitur in con­
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                  cluſione, et potentia duraret ꝑpetuo, et nõ depone-
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                  retur violēter ab illa reſiſtentia: ipſa potentia per­
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                  petuo ibi remitteret motū ſuū et data certa ꝓpor-
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                  tione ipſa continuo moueretur a maiori illa. </s>
                  <s xml:id="N1B4C6" xml:space="preserve">Pro­
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                  batur prima pars correlarii / q2 talis potētia nū̄
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                  deueniet ad punctū velociſſime motū (cū tale pun-
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                  ctū cõtinuo moueatur velocius ꝙ̄ ipſa potētia) qm̄
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                  tale incipipit moueri a maiori ꝓportione ꝙ̄ poten­
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                  tia ex caſu cõcluſionis: et continuo intēdit motū ſuū
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                  potētia ſuū motū continuo remittente: nec etiã vn̄
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                  talis potentia ꝑueniet ad extremū quieſcēs: cū con­
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                  tinuo magis recedat ab eo mouēdo a maiori ꝓpor­
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                  tione cõtinuo ꝙ̄ ſit ꝓportio quã habet ad extremū) /
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                  igr̄ talis potentia cõtinuo erit in pūcta intrinſeca
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                  illiꝰ reſiſtētie cõtinuo remittens motū ſuū ex cõclu-
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                  ſione. </s>
                  <s xml:id="N1B4E1" xml:space="preserve">Et ex hoc ptꝫ ſecūda pars: nã illa potētia cõ-
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                  tinuo mouetur a maiori ꝓportione ꝙ̄ ſit ꝓportio
                    <lb/>
                  quã habet eadē potentia ad extremū quiſcens (cum
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                  ipſa potentia ſit continuo in puncto intrinſeco re-
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                  miſſiori puncto intenſiori illius reſiſtentie quieſcē-
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                  te: igitur data certa ꝓportione talis potentia mo­
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                  uetur a maiori illa / quod fuit probandum.</s>
                </p>
                <note position="right" xml:id="N1B4FA" xml:space="preserve">2. correĺ.</note>
                <p xml:id="N1B4FE">
                  <s xml:id="N1B4FF" xml:space="preserve">¶ Nec hoc pretereas  idem dici queat de reſiſten-
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                  tia difformi cuius nulla pars eſt vniformis, cuiuſ
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                  omnes partes immediate ſecundum extenſionem
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                  ſunt immediate ſecundum intenſionem vtrin ad
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                  gradum terminata quod de reſiſtentia vniformiter
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                  difformi in vtro extremo terminata ad gradum /
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                  in hac concluſione et ſuo correlario dictum eſt.</s>
                </p>
                <p xml:id="N1B50E">
                  <s xml:id="N1B50F" xml:space="preserve">Quinta concluſio. </s>
                  <s xml:id="N1B512" xml:space="preserve">Ubi in medio non
                    <lb/>
                  reſiſtente eſt progreſſio ſiue extenſio latitudinis re­
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                  ſiſtentie vniformiter difformis in vtro extremo
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                  ad gradum terminate, quolibet eius puncto intrin­
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                  ſeco continuo remittente motum ſuum, et extremo
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                  intenſiori quieſcente, remiſſiori vero velocius in-
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                  cipiente moueri quam mobile quod in tali reſiſten­
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                  tia mouetur ſufficit moueri cū illo: tale mobile ha-
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                  bens proportionem maioris inequalitatis ad ex-
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                  tremum intenſius incipiens ſimul ab eodem pun-
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                  cto progredi ſiue moueri cum tali reſiſtentia con-
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                  tinuo intendit motum ſuum.</s>
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